A384203 Population of elementary triangular automaton rule 250 at generation n, starting from a lone 1 cell at generation 0.

1, 4, 10, 16, 22, 34, 52, 64, 70, 82, 106, 142, 172, 202, 244, 268, 274, 286, 310, 346, 382, 430, 502, 574, 616, 646, 706, 802, 892, 976, 1078, 1132, 1138, 1150, 1174, 1210, 1246, 1294, 1366, 1438, 1486, 1534, 1618, 1750, 1894, 2026, 2182, 2326, 2392, 2422

Offset

0,2

Comments

An Elementary Triangular Automaton (ETA) is a cellular automaton in the triangular grid where cells hold binary states and rules are local to the first neighborhood. There are 256 possible ETA rules.

Rule 250 (11111010 in binary):

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|state of the cell |1|1|1|1|0|0|0|0|

|sum of the neighbors' states |3|2|1|0|3|2|1|0|

|cell's next state |1|1|1|1|1|0|1|0|

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Links

Paul Cousin, Table of n, a(n) for n = 0..16384

Paul Cousin, Illustration for n = 0..64

Paul Cousin, Triangular Automata

Paul Cousin, Rule 250

Paul Cousin, Triangular Automata Integer Sequences

Paul Cousin, Triangular Automata: The 256 Elementary Cellular Automata of the Two-Dimensional Plane, Complex Systems, 33(3), 2024, pp. 253-276.

Crossrefs

Sequence in context: A294636 A295560 A161644 * A347652 A215032 A294980

Adjacent sequences: A384200 A384201 A384202 * A384204 A384205 A384206

Keyword

nonn

Author

Paul Cousin, May 22 2025

Status

approved